Transfer 11000101.001010100000 from binary in hexadecimal number system

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This transfer is possible in two ways: direct transfer and using the decimal system.

first, let\'s make a direct transfer.

Fill in the number with missing zeros on the right

let\'s do a direct translation from binary to hexadecimal like this:

11000101.0010101000002 = 1100 0101. 0010 1010 0000 = 1100(=C) 0101(=5). 0010(=2) 1010(=A) 0000(=0) = C5.2A016

the Final answer: 11000101.0010101000002 = C5.2A016

now let\'s make the transfer using the decimal system.

let\'s translate to decimal like this:

1∙27+1∙26+0∙25+0∙24+0∙23+1∙22+0∙21+1∙20+0∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6+1∙2-7+0∙2-8+0∙2-9+0∙2-10+0∙2-11+0∙2-12 = 1∙128+1∙64+0∙32+0∙16+0∙8+1∙4+0∙2+1∙1+0∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+0∙0.015625+1∙0.0078125+0∙0.00390625+0∙0.001953125+0∙0.0009765625+0∙0.00048828125+0∙0.000244140625 = 128+64+0+0+0+4+0+1+0+0+0.125+0+0.03125+0+0.0078125+0+0+0+0+0 = 197.164062510

got It: 11000101.0010101000002 =197.164062510

Translate the number 197.164062510 в hexadecimal like this:

the Integer part of the number is divided by the base of the new number system:

19716
-192C
5
Перевод чисел из одной системы счисления в другую

the Fractional part of the number is multiplied by the base of the new number system:

 Transferring numbers from one number system to another
0.1640625*16
2.625*16
A.0*16

the result of the conversion was:

197.164062510 = C5.2A16
the Final answer: 11000101.0010101000002 = C5.2A16
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